abstract bibtex

This note provides explicit algebraic stabilizing formulas for clf's when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein, but the proof of Artstein's theorem is nonconstructive. The formulas are obtained from a general feedback stabilization technique and are used to construct approximation solutions to some stabilization problems.

@ARTICLE{MR1828059, AUTHOR = {M. Malisoff and E.D. Sontag}, JOURNAL = {Systems Control Lett.}, TITLE = {Universal formulas for feedback stabilization with respect to Minkowski balls}, YEAR = {2000}, OPTMONTH = {}, OPTNOTE = {}, NUMBER = {4}, PAGES = {247--260}, VOLUME = {40}, KEYWORDS = {nonlinear control, feedback stabilization, saturation, control-Lyapunov functions}, PDF = {../../FTPDIR/minkowski.pdf}, ABSTRACT = { This note provides explicit algebraic stabilizing formulas for clf's when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein, but the proof of Artstein's theorem is nonconstructive. The formulas are obtained from a general feedback stabilization technique and are used to construct approximation solutions to some stabilization problems. } }

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